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7-x*x=2.9
We move all terms to the left:
7-x*x-(2.9)=0
We add all the numbers together, and all the variables
-x*x+4.1=0
Wy multiply elements
-1x^2+4.1=0
a = -1; b = 0; c = +4.1;
Δ = b2-4ac
Δ = 02-4·(-1)·4.1
Δ = 16.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{16.4}}{2*-1}=\frac{0-\sqrt{16.4}}{-2} =-\frac{\sqrt{}}{-2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{16.4}}{2*-1}=\frac{0+\sqrt{16.4}}{-2} =\frac{\sqrt{}}{-2} $
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